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Finding the Fourth Proportional to 49,760, 74,639.54 and 20,170.81

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Solution

The fourth proportional to 49,760, 74,639.54 and 20,170.81 is: 30,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,760 : 74,639.54 = 20,170.81 : x
  2. Step 2: Convert to fraction form
    49,760/74,639.54 = 20,170.81/x
  3. Step 3: Cross multiply
    49,760x = 74,639.54 × 20,170.81
  4. Step 4: Simplify right side
    49,760x = 1,505,539,505.78
  5. Step 5: Solve for x
    x = 1,505,539,505.78/49,760
  6. Step 6: Final answer
    x = 30,256.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.